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Finding the Third Proportional to 451,642.50 and 993,111.75

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Solution

The third proportional to 451,642.50 and 993,111.75 is: 2,183,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,642.50 : 993,111.75 = 993,111.75 : x
  2. Step 2: Convert to fraction form
    451,642.50/993,111.75 = 993,111.75/x
  3. Step 3: Cross multiply
    451,642.50x = 993,111.75 × 993,111.75
  4. Step 4: Simplify right side
    451,642.50x = 986,270,947,988.06
  5. Step 5: Solve for x
    x = 986,270,947,988.06/451,642.50
  6. Step 6: Final answer
    x = 2,183,742.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.